(The following topics include but are not limited to)
Topic 1: Physics
Fundamentals of Quantum Mechanics
Statistical Physics and Thermodynamics
Electromagnetics and Optics
condensed matter physics
Particle Physics and Nuclear Physics
Astrophysics and Cosmology
biophysics
Computational Physics Methods
Question 2: Mathematics
Algebra and Number Theory
Geometry and Topology
Differential equation theory
Probability Theory and Mathematical Statistics
Operations Research and Optimization
Numerical Analysis
mathematical modeling
Frontiers of Applied Mathematics
Topic 3: Machine Algorithms
Fundamentals of Machine Learning Theory
Optimization algorithm design
Statistical Learning Theory
Deep learning algorithms
Reinforcement learning algorithm
Graph Algorithm and Application
Approximation and Online Algorithms
Algorithm complexity analysis